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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 193

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.92.

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The machine reads it as

  1. PRIMCIPTA MATHEMATICA
  2. PROPOSITIO LXXXVI THEOREMA XLII.
  3. Si particularum, ex quibus corpus altractivum componitur, vires
  4. in recessu corporis altracti decrescunt in triplicata vel plusquam
  5. triplicata ratione distantiarum a particulis: attractio lonre for-
  6. rior erit in contactu, quam cum attrahens e altractum inter-
  7. vallo vel minimo separantur ab invicem.
  8. Nam accractionem in accessu attracti corpusculi ad hujusmodi
  9. Sphaeram crahentem augeri in infinitum, constac per Colutionem Pro-
  10. blematis XL. L, in Exemplo secundo ac terrio extribitam. Idem, per
  11. Lxempla illa _ ThCOremA XLL inter SC collata, Facile colligieuF
  12. de actractionibus corporum versus OrDCS COnCAVO- CONVEKOS, Live
  13. corpora attracta collocentur extra Orbes, live intra in corum cavi-
  14. tatibus. Sed ex addendo vel auferendo his Sphaeris et Orbibus ubi-
  15. vis extra locum contactus mareriam quamlibet atcractiram, eo ut
  16. corpora actractira induane figuram quamris assignacar, conltabie
  17. Propositio de corporibus univer(IS. . F. D.
  18. PROPOSITIOLZXZMI. TIEOREMA XLIV.
  19. Si corpora duo sibi invicem similia, es ex materia aequaliter atra-
  20. Etiva constantia, seorsim attrabant corpuscula sibi ipsis proporii.
  21. onalia e ad se similiter posita: attractiones acceleratrices cor-
  22. pusculorum in corpora tota erunt ut attractiones acceleratrices
  23. corpusculorum in eorum particulas totis proportionales in to-
  24. eis similiter positas.
  25. Nam s corpora distinguantur in partieulas, quae sinc coris pro-
  26. portionales ex in toris similiter licxe; crie, ut aetractio in particulam
  27. quamlibet unius corporis ad actractionem in particulam correspon-
  28. dentem in corpore altero, ita attractiones in particulas fingulas
  29. primi corporis ad actractiones in alterius particulas singulas corres-
  30. pondentes; e componendo, ita attractio in totum primum corpus
  31. ad aetractionem in torum secundum. 8. L. D.
  32. Corol. T. Ergo si vires actractirae particularum, augendo distan-
  33. cias corpusculorum accractorum, decrescant in ratione dignitatis
  34. Cujutris
  35. L. 1
  36. EX IMVS.
  37. UIsuviTuMMIIIIIII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 193. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0227?run=74